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Finding the Fourth Proportional to 8,220.78, 12,334.68 and 5,448.42

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Solution

The fourth proportional to 8,220.78, 12,334.68 and 5,448.42 is: 8,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.78 : 12,334.68 = 5,448.42 : x
  2. Step 2: Convert to fraction form
    8,220.78/12,334.68 = 5,448.42/x
  3. Step 3: Cross multiply
    8,220.78x = 12,334.68 × 5,448.42
  4. Step 4: Simplify right side
    8,220.78x = 67,204,517.21
  5. Step 5: Solve for x
    x = 67,204,517.21/8,220.78
  6. Step 6: Final answer
    x = 8,174.96

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.